Deformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation

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dc.creatorAratyn, H.
dc.creatorGomes, J. F.
dc.creatorZimerman, A. H.
dc.date2006-11-17
dc.date2007-04-02
dc.date.accessioned2026-07-07T11:23:10Z
dc.date.available2026-07-07T11:23:10Z
dc.descriptionThis paper is concerned with a link between central extensions of N=2 superconformal algebra and a supersymmetric two-component generalization of the Camassa--Holm equation. Deformations of superconformal algebra give rise to two compatible bracket structures. One of the bracket structures is derived from the central extension and admits a momentum operator which agrees with the Sobolev norm of a coadjoint orbit element. The momentum operator induces via Lenard relations a chain of conserved hamiltonians of the resulting supersymmetric Camassa-Holm hierarchy.
dc.descriptionLatex, 21 pages, version to appear in J. Phys. A
dc.identifierhttps://arxiv.org/abs/hep-th/0611192
dc.identifierhttp://arxiv.org/abs/hep-th/0611192
dc.identifierJ.Phys.A40:4511-4528,2007
dc.identifierdoi:10.1088/1751-8113/40/17/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194804
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleDeformations of N=2 super-conformal algebra and supersymmetric two-component Camassa-Holm equation
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